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(Solved): Use term-by-term differentiation or integration to find a power series centered at x=0 for: f(x)=( ...

$Use term-by-term differentiation or integration to find a power series centered at \( x=0 \) for: \[ f(x)=\frac{-9 x^{8}}{\le$

Use term-by-term differentiation or integration to find a power series centered at

x = 0

for:

f (x) = \frac{? 9 x ^{8}}{( 1 + x ^{9} ) ^{2}} = ?_{n = 1}^{?}

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We know that the power series for    centered at    is

Replacing    by    , we have

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